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Finding the Fourth Proportional to 886.30, 1,330.05 and 520.70

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Solution

The fourth proportional to 886.30, 1,330.05 and 520.70 is: 781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.30 : 1,330.05 = 520.70 : x
  2. Step 2: Convert to fraction form
    886.30/1,330.05 = 520.70/x
  3. Step 3: Cross multiply
    886.30x = 1,330.05 × 520.70
  4. Step 4: Simplify right side
    886.30x = 692,557.04
  5. Step 5: Solve for x
    x = 692,557.04/886.30
  6. Step 6: Final answer
    x = 781.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.